On fractional Fitzhugh-Nagumo equation as a transmission of nerve impulses design
From MaRDI portal
Publication:2144749
DOI10.1007/s40819-022-01302-8zbMath1491.35099OpenAlexW4226100641MaRDI QIDQ2144749
Publication date: 14 June 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01302-8
exp-function methodfractional complex transformationJumarie's modified Riemann-Liouville derivativefractional FitzHugh-Nagumo equationtransmission of nerve impulses model
Solutions to PDEs in closed form (35C05) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Cites Work
- On conformable fractional calculus
- New application of the \((G'/G)\)-expansion method
- Exp-function method for nonlinear wave equations
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Multidimensional nonlinear diffusion arising in population genetics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
- A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application
- Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
- Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
- The use of improved-F expansion method for the time-fractional Benjamin-Ono equation
- Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation
- A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment
- Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations
- Time-space fabric underlying anomalous diffusion
- Analytical investigation for modified Riemann-Liouville fractional Equal-Width equation types based on (G'/G)-expansion technique
